Atkin-Lehner |
2- 3- 13- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
16536h |
Isogeny class |
Conductor |
16536 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
33600 |
Modular degree for the optimal curve |
Δ |
-12521332242432 = -1 · 211 · 35 · 132 · 533 |
Discriminant |
Eigenvalues |
2- 3- 2 3 -3 13- -4 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,5648,-46048] |
[a1,a2,a3,a4,a6] |
j |
9727493027614/6113931759 |
j-invariant |
L |
4.0922746807821 |
L(r)(E,1)/r! |
Ω |
0.40922746807821 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
33072c1 49608h1 |
Quadratic twists by: -4 -3 |